Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bh |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-6431925795706944 = -1 · 26 · 36 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 4 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85683,-10396204] |
[a1,a2,a3,a4,a6] |
j |
-10816 |
j-invariant |
L |
2.498267641524 |
L(r)(E,1)/r! |
Ω |
0.13879265028046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bi1 48672n1 10816j1 97344bb1 |
Quadratic twists by: -4 8 -3 13 |